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Finding the Fourth Proportional to 1,077.37, 1,486.93 and 657.96

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Solution

The fourth proportional to 1,077.37, 1,486.93 and 657.96 is: 908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.37 : 1,486.93 = 657.96 : x
  2. Step 2: Convert to fraction form
    1,077.37/1,486.93 = 657.96/x
  3. Step 3: Cross multiply
    1,077.37x = 1,486.93 × 657.96
  4. Step 4: Simplify right side
    1,077.37x = 978,339.82
  5. Step 5: Solve for x
    x = 978,339.82/1,077.37
  6. Step 6: Final answer
    x = 908.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.